A researcher is interested in whether blind Braille readers could be taught to read faster using the same techniques as sighted readers. He has blind adults complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 blind Braille readers scored an average of 261 words per minute on the reading speed test. Since the sample size is larger than 30, the researcher can assume that the sampling distribution of MD is normal. He plans to use a repeated-measures t test. The researcher identifies the null and alternative hypotheses as:

Answers

Answer 1
The md issue where did we go in today and I was just talking about it and then you told me that I wasn’t doing that I don’t want it lol I’m sorry I was so bad for this dude but I’m so sorry to hear that I’m sorry to bother with it I got the same text saying it ain’t nothing wrong but it’s just a little slow and it’s just like that it’s like I can’t do

Related Questions

Your checkbook register shows these activities for the month. Old balance: $134. 56 Check 512 to Good Stuff for $32. 19 Deposit: $345. 12 Check 513 to Hometown Apt for $250. 00 Check 514 to Farland Grocery for $16. 65 Check 515 to Dr. Scott for $45. 00 What is your new checkbook balance? O $225. 64 O S169. 14 O S135. 84 O $122. 45​

Answers

Answer:

$135.84

Step-by-step explanation:

Your starting checkbook balance is $134.56.

Deposits increase your balance.  Add your deposit  to the balance:  $134.56+$345.12 = $479.68

Now add up  all the checks:  

$32.19+$250.00+$16.65+$45.00 = $343.84

Checks are money taken out of your account, so you subtract them from your balance

$479.68 - $343.84 = $135.84

What’s The Answer Of This? NO BOTS

Answers

Answer:

B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73

Step-by-step explanation:

You need to do 180-73 because "s" is unknown.


That should be 107 degrees.

Angle pair "MTS" should be 107 and "STN" should be 73

This is due to alternate interior angles, same side angles, and congruency properties.

The answer is c, always look for the shape Z and F in these types of question because every corner of the shape Z (like the 2 inside corners or angles) are equal to each other, and the same thing goes to the shape F

Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2

Answers

The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.

The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.

The first equation given in the problem is,

[tex]0 = 3x^2 +2x - 2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.

The second equation given in the problem is,

[tex]0 = -2 - 3x^2 +3[/tex]

Rearrange the equation as,

[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]

In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.

The third equation given in the problem is,

[tex]0 = 3x^2 +x +2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.

The fourth equation given in the problem is,

[tex]0 = -1x - 2 +3x^2[/tex]

Rearrange the equation as,

[tex]0=3x^2-1x-2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.

Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

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how do i do this? this two

Answers

Answer:

rectangle= 35
triangle= 15

Step-by-step explanation:

rectangle
the length is 5 the width is 7
the formula for area is 5*7
the answer is 35

triangle
the length is 5, the height 6
the formula is 1/2*6*5
the answer is 15

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.

Answers

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

Learn more about probability here;

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Answer:

Options:

A- There are 20C3 possible ways to choose three books to read.

B- There are 5C3 possible ways to choose three mysteries to read.

E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.

Step-by-step explanation:

The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?

Answers

The Answer is 28

Step-by-step explanation:

20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize

Answers

We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:

C =  6.818e46

In how many ways the prizes can be distributed?

Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.

Now we need to count the numbers of 6for each selection.

For the first prize, there are 180 options.

For the second prize, there are 179 options (because one person already got a prize).

For the third prize, there are 178 options.

And so on.

The total number of combinations is given by the product between the numbers of options:

C = 180*179*178*...*161*160 = 6.818e46

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Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at

$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?

3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 90

1. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 52

1. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 94

3(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82

O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30

Answers

Answer:

33.94

Explanation:

First start off by finding the total regardless of the 5.25 cents.

(3x8.50)+(3x1.25)+(2x1.50)=32.25

Then take that answer and multiply by your 5.25 cents per dollar

32.25x.0525 (since we're dealing with money)

then add that answer to the original 32.25

14 What fraction of $1.75 is 77c? Express this
fraction as a percentage.

Answers

Answer:

What is 1.75 as a fraction?

Converting Decimals to Fractions

Numbers can sometimes be easier to work with in fraction form or decimal form, depending on what you are using them for. Fortunately, there are easy steps you can use to convert, or change, fractions into decimals or decimals into fractions.

Answer and Explanation:

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To convert 1.75 into a fraction, let's first look at the .75 part of the decimal. .75 means '75 hundredths.' That means the corresponding fraction...

Step-by-step explanation:

A scientist has four petri dishes of different sizes. each dish contains a different number of bacteria. a 3-column table has 4 rows. the first column has entries dish a, dish b, dish c, dish d. the second column is labeled population of bacteria with entries 7,200, 10,000, 13,650, 21,350. the third column is labeled area (millimeters squared) with entries 2,826, 7,850, 20,096, 31,400. find each population density, to the nearest hundredth. which statement is true? dish a has the lowest population density. dish c has the greatest population density. dish a and dish b have approximately the same population density. dish c and dish d have approximately the same population density.

Answers

The statement that is true is option D which says, "Dish C and Dish D have approximately the same population density."

What is Population Density?

The population density of an area is the Number of Entities in that space/Total Area occupied by the population.

A scientist has four Petri dishes of different sizes. each dish contains a different number of bacteria.

It can also be written as Dp = N/A.

Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.

Hence, "Dish C and Dish D have approximately the same population density."

Learn more about Population Density at:

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Answer

option D on edg

Step-by-step explanation:

After first entering the ocean, a
scuba diver descends to a depth 18
feet below the surface of the water.
The diver then ascends 7
feet before descending 18 feet
again. What is the final depth of the
diver below the surface of the
water?

A. -29 feet
B. -43 feet
C. 29 feet
D. 43 feet

Answers

Answer:

-29 :)

Step-by-step explanation:

Decends: Goes lower

Ascends: Rises

Now lets solve :)

-18 + 7 = -11

-11 + (-18) = -29

Have an amazing day!!

Please rate and mark brainliest!!

4) If rectangle WXYZ has slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)

Answers

D

Its now in (3,2) if goes right 3 points then x becomes 6 so (6,2)
D. (6, 2)
have a nice day!

Between which two consecutive numbers does √48 fall on the number line

Answers

Answer:

6 and 7

Step-by-step explanation:

Answer: a) 6 and 7

Step-by-step explanation:

The square root of 48 is 6.928… so it’s between those two numbers

Assuming that the families use the same appliances in the same way, who spends more to run these appliances in a given 30 day period and by how much? a. the reed family spends $13.80 more than the merrill family. b. the reed family spends $0.46 more than the merrill family. c. the merrill family spends $58.80 more than the reed family. d. the merrill family spends $18.60 more than the reed family.

Answers

The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

For this case, the missing table for expenses of both families is:

Reed Family                                                   Appliances                

Gas range                                                  5 cents per day            

Gas dryer                                                   1 load per day-10 cents per load

Electric water heater                                90 cents per day

Typical later model refrigerator               16 cents per day

Total cost per day                                      5+10+90+16= 166 cents = $1.21

Merrill Family                                                Appliances

Electric range                                            13 cents per day

Gas dryer -                                                 1 load per day 10 cents per load

Gas water heater                                      40 cents per day

Energy Star-labeled refrigerator              12 cents per day

Total cost per day                                    13+10+40+12 = 75 cents = $0.75

Since each of them used these appliances for 30 days, so we get:

Case 1: Expense by Reed Family in 30 days:

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]

Case 2: Expense by Merrill Family in 30 days:

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]

So, Reed family spent more.

The difference is $36.3 - $22.5 = $13.80

Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

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5. The graph of t(x) is shown below. Determine the zeros of (x) points) -3,0 GO -6-54 -10 -9 3-2-1 2. 7 3 9 10 .+1)=0 A​

Answers

Answer:

(- 3, 0 ) , (0, 0 ) , (4, 0 )

Step-by-step explanation:

the zeros are the points on the x- axis where the graph crosses , so

zeros are (- 3, 0 ) , (0, 0 ) , (4, 0 )

S and E are midpoints of BA and AM, respectively. Use the properties of mid segments to find the perimeter of BAM

Answers

Answer:

50 inches

Step-by-step explanation:

Given: S and E are the midpoints of BA and AM. and EM = 9

Therefore, then the length of AB = 18 and AM = 18

Use the similar triangle properties.

7/BM = 9/18

BM = (7*18)/9

BM = 7*2 = 14 inches.

Therefore, the perimeter of BAM is = AB + BM + AM

= 18 + 14 + 18

= 50 inches

Answer:

50 in

Step-by-step explanation:

Please help. Will mark brainlyest.

Answers

1cm would be answer. ………….

Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers

Answers

Answer:

Card 5: 49.98 Card 6: 153.86 sq. ft

Step-by-step explanation:

Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98

Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.

Find the volume of the rectangular prism.

Answers

Answer:

8 x 8 x 8 = 512

Step-by-step explanation:

Hope this helps! Have a great day :)

Answer:

512

Step-by-step explanation:

LxWxH

8x8x8=512

Find the area in square meters of a circular pond with a radius of 8 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)

Answers

The area of a circular pond with a radius of 8 ft is, 18.67 m².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The radius of circle = 8 feet

Now, We know that;

⇒ 1 feet = 0.3048 m

⇒ 8 feet = 8 × 0.3048 m

             = 2.4384 m

We know that;

⇒ Area of circle = πr²

Substitute all the values, we get;

⇒ Area of circle = 3.14 × (2.4384)²

⇒ Area of circle = 3.14 × 5.94

⇒ Area of circle = 18.67 m²

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What is the reciprocal of 1 1/6

Answers

Answer:

6/7

Step-by-step explanation:

The reciprocal of 1 1/6 is 6/7.

Answer:

7/6

Step-by-step explanation:

to find the reciprocal of a number, you need to multiply the denominator by the whole number. once you do this, you should add that number and the  numerator. leave the denominator its orginal number and your answer should be 7/6

help please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?

x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)

A two-variable inequality is shown in the graph.

upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve

Which point is not included in the solution set for the inequality?

(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)

Which graph represents the solution of y ≤ x2 + 2?

upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)

What is the range of the function f(x) = |x| + 5?

R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)

What is the solution to the inequality |2x + 3| < 7?

4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2

Answers

The questions are illustrations of inequalities

The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2

The solution to the inequality

The inequality is given as:

x² - 18x < -77

Add 77 to both sides

x² - 18x + 77 < 0

Expand the inequality

x² - 7x - 11x + 77 < 0

Factorize the inequality

x(x - 7) - 11(x - 7) < 0

Factor out x - 7

(x- 7)(x - 11) < 0

Solve for x

x < 7 or x < 11

This means that the solution to the inequality is 7 < x < 11

The graph that represents the solution

The inequality expression is given as:

y ≤ x² + 2

See attachment for the graph of the inequality

The range of the function

The function is given as:

f(x) = |x| + 5

The smallest value of |x| is 0.

So, we have:

f(x) > 0 + 5

Evaluate

f(x) > 5

Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}

The solution to the inequality

The inequality expression is given as:

|2x + 3| < 7

Remove the absolute expression

2x + 3 < 7 or 2x + 3 < -7

Subtract 3 from both sides

2x < 4 or 2x < -10

Divide both sides by 2

x < 2 or x < -5

Hence, the solution to the inequality is x < –5 or x > 2

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Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8

Answers

The value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

What is the solution of equation?

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

The equation given in the problem is,

[tex]-9x +1 = -x +17\\[/tex]

To solve this equation, take the terms of variable x left side of the equation and constant term other side,

[tex]-9x +x = 17-1\\-8x=16[/tex]

Divide both side of the equation with number 8 as,

[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]

Hence, the value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

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Answer: The Answer Is; B) x = –2

Step-by-step explanation: Correct Answer On Edge2020.

(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)

PLease help i will give brainliest

Answers

A, because 59-56= 3.


Others are distributed on a larger scale. 11-6=5 for B, 6-0=6 for C, 8-1=7 for D

The Answer is actually B I took the test

Answers

Answer:

hola poop

Step-by-step explanation:

Which of the following figures has exactly 1 line of symmetry?

Answers

D

hope it helps......!!!!!!!

Solve this quadratic equation using the quadratic formula.

2x 2 - 10x + 7 = 0

Answers

I hope this helped! :)

Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))?

Answers

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression of period of [tex]\dfrac{\pi}{4}[/tex]phase shift of  [tex]\dfrac{\pi}{4}[/tex] to right

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y=f(x)[/tex]A, assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):[tex]y=f(x+c)[/tex]Left shift by c units: earlier)Right shift by c units: [tex]y=f(x-c)[/tex] output, but c units late)Vertical shift:Up by d units: [tex]y=f(x)+d[/tex]Down by d units: [tex]y=f(x)-d[/tex]Stretching:Vertical stretch by a factor k: [tex]y=k\times f(x)[/tex]Horizontal stretch by a factor k: [tex]y=f(\dfrac{x}{k})}[/tex]

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to

[tex]y=0.35cos(8(x-\pi/4)[/tex]

We can see its vertical stretch by 0.35, right shift by horizontal stretch by 1/8

Period of cos(x) is of  length. But 1.8 stretching makes its period shrink to

[tex]\dfrac{2\pi}{8}=\dfrac{\pi}{4}[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35

horizontal compression to period of  (which means period of cosine is shrunk to  which originally was  )

phase shift of  to right

Learn more about transformation of functions here:

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Answer:

C on ed

Step-by-step explanation:

got it right

A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?

Answers

6 drinks I think I mean it adds up

Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?

Answers

Paused for 30min

Starting time:-

1:09PM=13:09+0:30=13:39

Now

Ending time:-

3:47PM=15:47PM

Total active time:-

15:47-13:392:08hours

Or

2hours 8min

Answer:

2 hours 8 minutes

Step-by-step explanation:

Let the total amount of time of Annabeth's being on the computer be x hours

since she paused using computer for a snack break for 30 minuted, our x turns out to be

[tex]x+0:30[/tex]

The initial time is 1:09 pmThe final time is 3:47 pm

Thus our equation would like

[tex]1:09+x+0:30=3:47[/tex]

solving the equation yields:

[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]

hence,

Annabeth was on her computer for 2 hours 8 minutes

Note:

1 Hour=60 minutes
Other Questions
Lane loads his stuck with 3 tons of bricks. How many pounds of bricks does he have While playing a real-time strategy game, Juan created military units for battle: long swordsmen, spearmen, and crossbowmen.Long swordsmen require 75 units of food and 25 units of gold. Spearmen require 40 units of food and 30 units of wood.Crossbowmen require 30 units of wood and 40 units of gold. If Juan used 1475 units of gold, 1500 units of wood, and 4025 unitsof food to create the units, how many of each type of military unit did he create?Juan createdlong swordsmen.Parti How can a reader best decide if a scientific article is current?The reader can check the authors biographical information.The reader can find the copyright date.The reader can look for factual information.The reader can see if the article has multiple sources.I WANT TO GIVE SOMEONE POINTS Which of these would have been a positive effect of the Columbian Exchage? Compared to other fruits like apples, avocados have an extremely short Shelflife. Does this make iteasier or harder for you to supply avocados? Why? If we stopped burning fossil fuels today, what would happen to the climate?. 4-5 practice proving right triangles congruent worksheet 1-7 find the absolute value of -5/8 Express 16 minutes as a percentage of 20 Can someone pleas help??????? why is johnny's condition especially bad? Hint: think about his home life. Find the value of x. Circle geometry. What is the main reason that Jos is upset when he returns from the Mirandas near the end of Antojos?A.He hurt his foot walking back to the car.B.He does not want to go home to his mother.C.He thinks he will not get the dollar because he did not bring help.D.He wanted to see the men with the machetes before they finished fixing the car. please teach me how to do this When an animal cell goes through the process of mitosis, it divides into two smaller cells.In order for the animal to continue growing, these two cells need to become as large as the original cell. How do the cells do this? A. They undergo mitosis again to increase the number of cells in the area. B. They combine with other cells around them to produce larger cells. C. They absorb substances from the matter that the animal eats and drinks. D. They expand by creating areas of empty space inside the cells. Dividing by 1/2 means you are finding how many halves are in the dividend On the eve of the civil war, nearly half a million free blacks lived in the united states, the majority of them in the south. Identify the statements that describe the restrictions under which free blacks lived. What are some of the different substances that make up a pizza?What substances make up water? Differentiate the 3 types of evolution in Science Prove that y=tan(mx) = sin(mx)/cos(mx)